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Finding the Fourth Proportional to 729.26, 1,006.42 and 449.42

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Solution

The fourth proportional to 729.26, 1,006.42 and 449.42 is: 620.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.26 : 1,006.42 = 449.42 : x
  2. Step 2: Convert to fraction form
    729.26/1,006.42 = 449.42/x
  3. Step 3: Cross multiply
    729.26x = 1,006.42 × 449.42
  4. Step 4: Simplify right side
    729.26x = 452,299.12
  5. Step 5: Solve for x
    x = 452,299.12/729.26
  6. Step 6: Final answer
    x = 620.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.